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refactor(Studies/Booth2022): Booth's notation and entailment, headliners - #6031
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The Booth studies state their facts in the papers' notation: Fact 1 reads
□(.atom p ⋎ .atom q) ⊨[V, R] ◇(.atom p ⋏ ∼.atom q).MinimalCovering: scoped notation∼ ⋏ ⋎ ⇒ □ ◇forFormulaandφ ⊨[V, R] ψfor the appendix's entailment, a notation for the truth-set inclusion so every proof is unchangedsimp onlyworkarounds go back to plainsimpnow that fix(Core/Order/Minimals): drop simp from Preorder.lift_le_iff #6024 removed the looping simp lemma; Fact 2 proofs sharetruth_cond_neg_atom## Errata, five headline theorems each; both studies leave the headliner baseline